A new unit of length is chosen so that the speed of light in vaccum is `1ms^-2`. If light takes 8 min and 20 s to cover this distance, what is the distance between the Sun and Earth in terms of the new unit?

Explanation

Given that velocity of light in veccum,
c=1 new unit of length `s^-1`
Time taken by light of Sun to reach Earth,
T=8 min 20s=`8 times 60`+20=500s
`therefore` Distance between the Sun and Earth,
`x= c times t`
= 1 new unit of length `s^-1 times 500s`
=500 new units of length.